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nikdorinn [45]
2 years ago
14

An animal shelter has 24 puppies. If the puppies are 32% of the total dog and cat population, how many dogs and cats are in the

animal shelter?
Mathematics
1 answer:
34kurt2 years ago
4 0

population *32% = 24

population *.32 = 24

population = 24/.32

population = 75

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Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made. (5 points) −5x − 25
Fofino [41]

Answer:

x = -20.6

Step-by-step explanation:

Step 1: −5x − 25 − 25 = 78 − 25

Should be

Step 1: -5x-25+25=78+25

Step 2: -5x=103

Step 3: Divide both sides by -5: x = -20.6

5 0
3 years ago
What is the sum of all of the perfect squares between
Nonamiya [84]

Answer:

(-138) is the answer.

Step-by-step explanation:

Perfect square numbers between 15 and 25 inclusive are 16 and 25.

Sum of perfect square numbers 16 and 25 = 16 + 25 = 41

Sum of the remaining numbers between 15 and 25 inclusive means sum of the numbers from 17 to 24 plus 15.

Since sum of an arithmetic progression is defined by the expression

S_{n}=\frac{n}{2}[2a+(n-1)d]

Where n = number of terms

a = first term of the sequence

d = common difference

S_{8}=\frac{8}{2} [2\times 17+(8-1)\times 1]

   = 4(34 + 7)

   = 164

Sum of 15 + S_{8} = 15 + 164 = 179

Now the difference between 41 and sum of perfect squares between 15 and 25 inclusive = 41-179

= -138

Therefore, answer is (-138).

7 0
3 years ago
What does <a href="/cdn-cgi/l/email-protection" class="__cf_email__" data-cfemail="dafb9a">[email&#160;protected]</a>#., ;'. Tra
jenyasd209 [6]

Code:!#@$% Means there is a "Cuss word for adults to say"

7 0
3 years ago
-8z+(4.5)+3.5z+7y-1.5
bogdanovich [222]

Answer:

  • \boxed{\sf{7y+3-4.5z}}

Step-by-step explanation:

In order to combine like terms, you have to isolate x and y from one side of the equation.

\sf{-8z+\left(4.5\right)+3.5z+7y-1.5}

<u>First, thing you do is remove parentheses.</u>

\Longrightarrow: \sf{-8z+4.5+3.5z+7y-1.5}

<u>Solve.</u>

<u>Then, you combine like terms.</u>

\Longrightarrow:\sf{-8z+3.5z+7y+4.5-1.5}

<u>Add/subtract the numbers from left to right.</u>

-8z+3.5z=-4.5z

<u>Rewrite the problem down.</u>

\Longrightarrow: \sf{-4.5z+7y+4.5-1.5}

<u>Solve.</u>

4.5-1.5=3

\Longrightarrow: \boxed{\sf{7y+3-4.5z}}

  • <u>Therefore, the correct answer is 7y+3-4.5z.</u>

I hope this helps, let me know if you have any questions.

6 0
2 years ago
if money savings account earned 8% interest per annum, how much interest would be earned on 150.00 over 3 years?
Vlad1618 [11]

Answer:

$36

Step-by-step explanation:

Use the simple interest formula, I = prt

Plug in the interest rate, original amount of money, and number of years:

I = prt

I = (150)(0.08)(3)

I = 36

So, $36 in interest would be made

8 0
2 years ago
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